SOLUTION: The sum of the measures of the interior angles of a convex polygon is 1980. How many sides does the polygon have?
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Question 293638: The sum of the measures of the interior angles of a convex polygon is 1980. How many sides does the polygon have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of the measures of the interior angles of a convex polygon is 1980. How many sides does the polygon have?
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Fact: The sum of the angles of any regular n-gon is (n-2)180 degrees.
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Your Problem:
(n-2)180 = 1980
(n-2) = 11
n = 13 sides
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Cheers,
Stan H.
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